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Finding the Fourth Proportional to 709.71, 1,065.38 and 421.76

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Solution

The fourth proportional to 709.71, 1,065.38 and 421.76 is: 633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.71 : 1,065.38 = 421.76 : x
  2. Step 2: Convert to fraction form
    709.71/1,065.38 = 421.76/x
  3. Step 3: Cross multiply
    709.71x = 1,065.38 × 421.76
  4. Step 4: Simplify right side
    709.71x = 449,327.23
  5. Step 5: Solve for x
    x = 449,327.23/709.71
  6. Step 6: Final answer
    x = 633.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.